Instruments and Systems: Monitoring, Control, and Diagnostics Annotation << Back The method of elastic trace in the problems of trajectory control B.K. NARTOV The paper presents a new approach to the development of algorithms of automated control systems of mobile objects. In addition, the presented results can be used directly in systems and software modeling and simulation trajectory control. The main results obtained using the new method of formalization of the trajectory-based tasks using a special, dependent on the control and – poorly – time-support functions. When running the helper function implements the flat area above the “elastic” trace – differentiable profile resembling that of the movement of managed objects. In the given work the scheme of formalization and algorithmization of three groups of practical tasks of management: 1. The problem of optimal search of stationary objects. Discussed problems with free and fixed final coordinates of the search units . Correlated planning options optimal search and optimal search control in real time, including the risk of death. 2. The problem of optimal pursuit of objects with desired trajectories., including specified probability. The proposed approach allows to get rid of the differential equations of the trajectories of objects – the pursuers to circumvent the combinatorial difficulties of the General case of the original problem and to reduce it to a classical constrained optimization problem. 3. The problem of discrete optimization with moving objects, previously interpreted as “optimal prosecution of fixed targets”. Part of the presented results have been verified by using simulation programs. Keywords: control systems, optimization of trajectories, searching, stalking, discrete optimization. Contacts: E-mail: nartov@ofim.oscsbras.ru Pp. 01-09.